• Big ideas
  • Same and different
    • Classification
    • Noticing and comparing properties of shapes
    • Imagining missing elements
  • Visualisation
    • Visualisation of information
  • Mathematical truth
    • Truth of propositions
  • If-then
    • If-then statements
    • Proportional reasoning
  • Deduction
    • Deductive reasoning
    • Halving a rectangle
  • Proof
    • Proof: The foundation of mathematics
• Good teaching
  • Reasoning for all students
    • Challenging all students
  • Effective questioning
    • The W questions
  • Deep thinking
    • Promoting deep thinking
  • A routine element of every class
    • Student-to-student dialogue
    • A social activity
  • Making mathematical connections
    • What do connectionist teachers do?
• Assessment
  • Assessment approaches
    • Using open tasks
    • Observation
    • Students' writing
    • Using problem-posing
  • Designing tasks for assessing reasoning
    • Levels of proof
    • Ability to demonstrate reasoning
    • Ability to predict
    • Ability to make connections
• Activities
  • Above and below the line
  • Bad apples
  • Challenging all students
  • Comparing properties of quadrilaterals
  • Covered by H
  • Do quadrilaterals tessellate?
  • Exploring nines
  • Surface area and scaling up
  • W questions covered by H
• Downloads
• Acknowledgements